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Theoretical Foundations of Magnetic Resonance Imaging Sequences
Last Updated: 2026-02-05 16:08:00
Abstract
We want to study Magnetic Resonance Imaging from a theoretical perspective by deriving solutions to the Bloch equations and interpreting them in an imaging context. We will cover basic transformations, analytical and numerical solutions to key sequence building blocks, the principles of Fourier imaging, and derive extended phase graphs to describe SSFP sequences.
Objective
1. Understand the basic properties of solutions to the Bloch Equations and their implications for MR sequence and system design 2. Apply learned solution techniques to obtain analytical or numerical solutions to arbitrary pulse sequences 3. Analyze and interpret theoretical solutions in the context of MR imaging.
Content
1.Basics of MRI: System Definition, Magnetization Dynamics, Signal 2.Transformation Bloch Equations (Homogenization, Rotating Frame, Complex Basis) 3. Rotation Operator Algorithm 4. RF Pulse 1: Off-Resonant Hard-Pulse 5. MR Sequences 1: Free Induction Decay and Spin Echo 6 .k-Space: Image Formation, Aliasing, Bandwidth, Point-Spread-Function 7. Steady-State Sequences: Extended Phase Graphs 8. MRI Sequences 2: Gradient-Spoiled and balanced Steady-State Free-Precession 9. RF Pulse 2: Shaped RF Pulses for Slice Selection, Hard-Pulse and Small Tip-Angle Approximation"
Resources
Lecture Notes
Visualizer Notes will be distributed
General Information
- Language
- English
- Levels
- DR , MSC
- Frequency
- Yearly recurring
Examination
- Type
- graded semester performance
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture |
Theoretical Foundations of Magnetic Resonance Imaging Sequences
The seminar takes place from 10:00 – 11:45.
|
|
2 h weekly |
Offered In
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Recommended Elective Courses (These courses are particularly recommended for the Bioimaging track. Please consult your track adviser if you wish to select other subjects.)
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Doctorate Information Technology and Electrical Engineering (More Information at: )
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Subject Specialisation (A minimum of 12 ECTS credit points must be obtained during doctoral studies (also see other categories for details) The courses on offer below are but a small selection out of a much larger available number of courses. Please discuss your course selection with your PhD supervisor.)
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